GCF and LCM Calculator Logo

What is the Least Common Multiple of 4730 and 4743?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 4730 and 4743 is 22434390.

LCM(4730,4743) = 22434390

LCM Calculator and
and

Least Common Multiple of 4730 and 4743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4730 and 4743, than apply into the LCM equation.

GCF(4730,4743) = 1
LCM(4730,4743) = ( 4730 × 4743) / 1
LCM(4730,4743) = 22434390 / 1
LCM(4730,4743) = 22434390

Least Common Multiple (LCM) of 4730 and 4743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4730 and 4743. First we will calculate the prime factors of 4730 and 4743.

Prime Factorization of 4730

Prime factors of 4730 are 2, 5, 11, 43. Prime factorization of 4730 in exponential form is:

4730 = 21 × 51 × 111 × 431

Prime Factorization of 4743

Prime factors of 4743 are 3, 17, 31. Prime factorization of 4743 in exponential form is:

4743 = 32 × 171 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 4730 and 4743.

LCM(4730,4743) = 21 × 51 × 111 × 431 × 32 × 171 × 311
LCM(4730,4743) = 22434390